Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

For any quantum system invariant under gauging a higher-form global symmetry, we
construct a noninvertible topological defect by gauging in only half of the spacetime. This …

Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

We discuss a variety of codimension-one, non-invertible topological defects in general 3+ 1d
QFTs with a discrete one-form global symmetry. These include condensation defects from …

A bstract In axion-Maxwell theory at the minimal axion-photon coupling, we find non-
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …

In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …

A bstract Non-invertible symmetries have recently been understood to provide interesting
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …

Neural network-based machine learning has recently proven successful for many complex
applications ranging from image recognition to precision medicine. However, its direct …